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Wave vectors selection at the threshold of a generic instability of a hexagonal stationary pattern

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Publication:1868923
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DOI10.1016/S0167-2789(03)00008-3zbMath1097.37509MaRDI QIDQ1868923

Yanyan Li

Publication date: 9 April 2003

Published in: Physica D (Search for Journal in Brave)


zbMATH Keywords

bifurcation


Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ill-posed problems for PDEs (35R25) Nonlinear first-order PDEs (35F20) Developmental biology, pattern formation (92C15) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)




Cites Work

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  • Symmetries and pattern selection in Rayleigh-Bénard convection
  • The Eckhaus instability in hexagonal patterns
  • Secondary instability of one-dimensional cellular patterns: A gap soliton, black soliton and breather analogy
  • Stability of rolls and hexagonal patterns in non-potential systems
  • Stability results for steady, spatially periodic planforms
  • Instabilities of one-dimensional cellular patterns
  • Recent Developments in Rayleigh-Bénard Convection
  • Pattern formation outside of equilibrium
  • Spatial period-multiplying instabilities of hexagonal Faraday waves
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